[{"type":"thinking","thinking":"There's an ugly leftover in certified_strip_bound: `box1 = acb(arb((re_lo * 0 + 1) - re_hi / 2 if False else arb(\"1.625\"), \"0.125\"), ...)` — that's convoluted dead code from my drafting. Clean it up: box1 = acb(arb(\"1.625\", \"0.125\"), arb(\"0\", \"5.125\")). Also re_lo/re_hi/im_hi become unused — remove. Let me fix that before testing.\n\nAlso check: `arb(repr(t))` for t = k*5e-5 float — repr gives full float precision; the grid point t as float64 vs exact k/20000: the float is within 1e-16 of the intended rational — fine (the certificate covers a grid arbitrarily close to the intended one; the Lipschitz allowance covers between-grid regardless of tiny float shifts).\n\nQuick smoke test first: run a tiny inline version of the strip bound + a couple hundred grid points to validate M and timing, before the full detached run.","signature":""},{"type":"text","text":"Cleaning up a drafting leftover in the strip-bound function before testing."},{"type":"tool_use","id":"Edit_151","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\numerics\\scripts\\E-023b-mzero-boxcover.py","old_string":"    re_lo, re_hi = arb(\"-2.75\"), arb(\"-2.25\")\n    im_hi = arb(\"10.25\")\n    # (1-s)/2: Re in [13/8, 15/8], |Im| <= 41/8\n    box1 = acb(arb((re_lo * 0 + 1) - re_hi / 2 if False else arb(\"1.625\"),\n                   \"0.125\"), arb(\"0\", \"5.125\"))\n    # s/2: Re in [-11/8, -9/8], |Im| <= 41/8\n    box2 = acb(arb(\"-1.25\", \"0.125\"), arb(\"0\", \"5.125\"))","new_string":"    # (1-s)/2: Re in [13/8, 15/8], |Im| <= 41/8\n    box1 = acb(arb(\"1.625\", \"0.125\"), arb(\"0\", \"5.125\"))\n    # s/2: Re in [-11/8, -9/8], |Im| <= 41/8\n    box2 = acb(arb(\"-1.25\", \"0.125\"), arb(\"0\", \"5.125\"))"},"extra_content":null},{"type":"tool_use","id":"Bash_152","name":"Bash","input":{"command":"./.venv/Scripts/python.exe -c \"\nimport sys, time\nsys.path.insert(0, 'research/numerics/scripts')\nimport importlib.util\nspec = importlib.util.spec_from_file_location('e23b', 'research/numerics/scripts/E-023b-mzero-boxcover.py')\nm = importlib.util.module_from_spec(spec); spec.loader.exec_module(m)\nt0=time.time()\nM, psi1, psi2, dbox = m.certified_strip_bound()\nprint('M_strip =', M)\nprint('psi1 =', psi1, ' psi2 =', psi2, ' D =', dbox)\nprint('L =', float(M/ m.R_CAUCHY))\nprint('allowance L*h =', float(M/m.R_CAUCHY*m.arb(repr(m.H_GRID))))\nprint('strip time', round(time.time()-t0,1),'s')\nt0=time.time()\nfor k in range(200):\n    v = abs(m.f_at_point(k*5e-5)).abs_upper()\nprint('200 pts in', round(time.time()-t0,2),'s -> full estimate', round((time.time()-t0)/200*200001/60,1),'min')\n\" 2>&1 | head -15","description":"Smoke test strip bound M, L, and grid timing","timeout":300000},"extra_content":null}]